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Finding the Fourth Proportional to 2,096.30, 2,894.82 and 1,351.53

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Solution

The fourth proportional to 2,096.30, 2,894.82 and 1,351.53 is: 1,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.30 : 2,894.82 = 1,351.53 : x
  2. Step 2: Convert to fraction form
    2,096.30/2,894.82 = 1,351.53/x
  3. Step 3: Cross multiply
    2,096.30x = 2,894.82 × 1,351.53
  4. Step 4: Simplify right side
    2,096.30x = 3,912,436.07
  5. Step 5: Solve for x
    x = 3,912,436.07/2,096.30
  6. Step 6: Final answer
    x = 1,866.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.